Some New Applications of the Mellin Transform Involving the Lambert Transforms and Implications for the Riemann Hypothesis
This work investigates the interplay between the Mellin transform and Lambert transforms to derive several novel results. In particular, we establish new inversion formulae for the Lambert transforms along with a Plancherel-type identity. Additionally, we explore the implications of these findings, highlighting their relevance to Salem’s equivalence and potential connections with the Riemann hypothesis.
Authors
- Jeetendrasingh Maan (ORCID: https://orcid.org/0000-0001-6569-8540)
- E. R. Negrín (ORCID: https://orcid.org/0000-0002-5506-5050)
- H. M. Srivastava (ORCID: https://orcid.org/0000-0002-9277-8092)
Institutions
- Uninett (Norway) (NO)
- Chung Yuan Christian University (TW)
- Universidad de La Laguna (ES)
- China Medical University (TW)
- University of Victoria (CA)
- Kyung Hee University (KR)
- National Institute of Technology Hamirpur (BD)
- China Medical University Hospital (TW)
- Azerbaijan University (AZ)
Publication Details
- Journal
- Axioms
- Published
- 2025-10-31
- DOI
- https://doi.org/10.3390/axioms14110814
- Primary Topic
- Sports Dynamics and Biomechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00